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Finding the Fourth Proportional to 5,267.88, 7,267.44 and 3,696.96

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Solution

The fourth proportional to 5,267.88, 7,267.44 and 3,696.96 is: 5,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.88 : 7,267.44 = 3,696.96 : x
  2. Step 2: Convert to fraction form
    5,267.88/7,267.44 = 3,696.96/x
  3. Step 3: Cross multiply
    5,267.88x = 7,267.44 × 3,696.96
  4. Step 4: Simplify right side
    5,267.88x = 26,867,434.98
  5. Step 5: Solve for x
    x = 26,867,434.98/5,267.88
  6. Step 6: Final answer
    x = 5,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.